6+9(x-4)=1-8(x-8)

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Solution for 6+9(x-4)=1-8(x-8) equation:


Simplifying
6 + 9(x + -4) = 1 + -8(x + -8)

Reorder the terms:
6 + 9(-4 + x) = 1 + -8(x + -8)
6 + (-4 * 9 + x * 9) = 1 + -8(x + -8)
6 + (-36 + 9x) = 1 + -8(x + -8)

Combine like terms: 6 + -36 = -30
-30 + 9x = 1 + -8(x + -8)

Reorder the terms:
-30 + 9x = 1 + -8(-8 + x)
-30 + 9x = 1 + (-8 * -8 + x * -8)
-30 + 9x = 1 + (64 + -8x)

Combine like terms: 1 + 64 = 65
-30 + 9x = 65 + -8x

Solving
-30 + 9x = 65 + -8x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '8x' to each side of the equation.
-30 + 9x + 8x = 65 + -8x + 8x

Combine like terms: 9x + 8x = 17x
-30 + 17x = 65 + -8x + 8x

Combine like terms: -8x + 8x = 0
-30 + 17x = 65 + 0
-30 + 17x = 65

Add '30' to each side of the equation.
-30 + 30 + 17x = 65 + 30

Combine like terms: -30 + 30 = 0
0 + 17x = 65 + 30
17x = 65 + 30

Combine like terms: 65 + 30 = 95
17x = 95

Divide each side by '17'.
x = 5.588235294

Simplifying
x = 5.588235294

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